The existence of four solutions, one negative, one positive, and two sign-changin (namely, nodal), for a Neumann boundary-value problem with right-hand side depending on a positive parameter is established. Proofs make use of sub- and super-solution techniques as well as Morse theory.

Multiple solutions to a Neumann problem with equi-diffusive reaction term

MARANO, Salvatore Angelo;
2012-01-01

Abstract

The existence of four solutions, one negative, one positive, and two sign-changin (namely, nodal), for a Neumann boundary-value problem with right-hand side depending on a positive parameter is established. Proofs make use of sub- and super-solution techniques as well as Morse theory.
Neumann problem; Multiple solutions; Morse theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/9641
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